Titlebook: Neural-Network Simulation of Strongly Correlated Quantum Systems; Stefanie Czischek Book 2020 The Editor(s) (if applicable) and The Author

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Deep Neural Networks and Phase Reweightingrization of quantum spin-1/2 state vectors via complex-valued restricted Boltzmann machines in Sect.?.. There states are sampled from the represented probability distribution to approximate expectation values of quantum operators.

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Springer Theseshttp://image.papertrans.cn/n/image/663764.jpg

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https://doi.org/10.1007/978-3-030-52715-0Quantum Many-Body Systems; Quantum Machine Learning; Artificial Neural Networks; Neural-Network Quantum

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978-3-030-52717-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Introduction,In the age of quantum computers and quantum simulators appearing in the daily news, a proper understanding and controllability of quantum many-body systems forming the underlying principles becomes more and more important, albeit it is far from complete.

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Quantum Mechanics and Spin SystemsWith the basic content of this thesis being simulations of quantum spin-1/2 systems, we start introducing the underlying concepts and properties of those and of quantum mechanics in general. Clarifying the basics, we provide a starting point to perform approximate simulations of these computationally unfeasible problems.